165 в градусах

$cos^8165-sin^8165=\\ cos^2(\frac{330}{2})^4=\frac{(1+cos330)^4}{16}=\frac{(1+\frac{\sqrt{3}}{2})^4}{16}\\ sin^2(\frac{330}{2})^4=\frac{(1-cos330)^4}{16}=\frac{(1-\frac{\sqrt{3}}{2})^4}{16}\\ \frac{(1+\frac{\sqrt{3}}{2})^4}{16}-\frac{(1-\frac{\sqrt{3}}{2})^4}{16}=\\$

$\frac{(1+\frac{\sqrt{3}}{2})^4}{16}-\frac{(1-\frac{\sqrt{3}}{2})^4}{16}=\\ 8*\frac{\sqrt{3}}{2}^3+8*\frac{\sqrt{3}}{2}=3\sqrt{3}+4\sqrt{3}=7\sqrt{3}\\ Otvet \ \frac{7\sqrt{3}}{16}$